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Central Limit Theorems for Random Permanents with Correlation Structure |
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| Authors: | Grzegorz A Rempała Jacek Wesołowski |
| Institution: | (1) Department of Mathematics, University of Louisville, Louisville, Kentucky, 40292;(2) Wydzia Matematyki i Nauk Informacyjnych, Politechnika Warszawska, Plac Politechniki 1, 00-661 Warszawa, Poland |
| Abstract: | Central limit theorems for permanents of random m×n matrices of iid columns with a common intercomponent correlation as n–m  are derived. The results are obtained by introducing a Hoeffding-like orthogonal decomposition of a random permanent and deriving the variance formulae for a permanent with the homogeneous correlation structure. |
| Keywords: | central limit theorem orthogonal expansion random permanent |
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